摘要
本文采用奇异积分方程法分析了横观各向同性体中的埋藏裂纹。建立了张开型埋藏裂纹的Cauchy型奇异积分方程。当裂纹面和弹性对称轴垂直时,得到的裂纹张开位移方程的求解与各向同性情况类似。当裂纹面和弹性对称轴平行时,根据加权余量法,建立了弱解方程。给出两个算例,计算了圆形裂纹和椭圆形裂纹上的张开位移分布。数值结果表明:本文的方法是有效的。横观各向同性体中,埋藏裂纹方位任意时的裂纹张开位移方程,根据本文的方法易于得到。
In this paper, the embedded crack in transversely isotropic body is studied by means of the singular integral equation method. When the elastic symmetrical axis is perpendicular to the crack, the equation of crack opening displacement is presented, and its solution is easy to be obtained. When the elastic symmetrical axis is parallel to the crack, the equation of crack opening displacement is presented, and its weak form is presented by means of Galerkin finite element method. The numerical results illustrate the distribution of crack opening displacement on a circular crack and an elliptical crack. The general equation of crack opening displacement in transversely isotropic body is easy to be obtained by means of the method in this paper.
出处
《力学季刊》
CSCD
2000年第4期487-491,共5页
Chinese Quarterly of Mechanics
基金
中国石油天然气总公司"九五"攻关资助项目(960502)
关键词
横观各向同性
埋藏裂纹
奇异积分方程法
断裂力学
transversely isotropic body
embedded crack
singular integral equation method
